scholarly journals Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials

2019 ◽  
Vol 18 (3) ◽  
pp. 1261-1280 ◽  
Author(s):  
Dongdong Qin ◽  
◽  
Xianhua Tang ◽  
Qingfang Wu ◽  
Keyword(s):  
Ground States ◽  
Nonlinear Schrödinger ◽  
Periodic Potentials ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

scholarly journals Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Baiyu Liu
Keyword(s):  
Variational Method ◽  
Ground States ◽  
Harmonic Potential ◽  
Power Type ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

We consider a class of coupled nonlinear Schrödinger systems with potential terms and combined power-type nonlinearities. We establish the existence of ground states, by using a variational method. As an application, some symmetry results for ground states of Schrödinger systems with harmonic potential terms are obtained.

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